Classifying Proportion and Nonproportion Situations Projector Resources Classifying

Classifying Proportion and Non-proportion Situations Projector Resources Classifying Proportion and Non-proportion Situations

Buying Cheese 10 ounces of cheese costs $2. 40. Ross wants to buy ……… ounces of cheese. Ross will have to pay $. . Projector Resources Classifying Proportion and Non-proportion Situations P-1

Properties of Direct Proportion • One quantity is a multiple of the other. • If the first quantity is zero, the second quantity is zero. • If you double one quantity, the other also doubles. • The graph of the relationship, is a straight line through the origin. Projector Resources Classifying Proportion and Non-proportion Situations P-2

Working Together Choose one of the cards to work on together. 1. Choose some easy numbers to fill in the blanks. Answer the question you have written. Write all your reasoning on the card. 2. Now choose harder numbers to fill in the blanks. Answer your new question together. Write all your reasoning on the card. 3. Decide whether the quantities vary in direct proportion. Write your answer and your reasoning on the card. When you have finished one card, choose another. Projector Resources Classifying Proportion and Non-proportion Situations P-3

Analyzing Each Other’s Work • Carefully read each solution in turn. • Is there anything you don’t understand? • Do you notice any errors? • Compare the work to your own solution to the question. • Have you used the same methods? • Do you have the same numerical answers? • Do you agree about which question involves direct proportion? Projector Resources Classifying Proportion and Non-proportion Situations P-4

Driving If I drive at ……… miles per hour, my journey will take ……… hours. How long will my journey take if I drive at ……… miles per hour? Projector Resources Classifying Proportion and Non-proportion Situations P-5

Internet An internet service provides ……… GB (gigabites) free each month. Extra GB used is charged at $ ……… per GB. I used ……… GB last month. How much did this cost? Projector Resources Classifying Proportion and Non-proportion Situations P-6

Cell Phone A cell phone company charges $……… per month plus $……… per call minute. I used ……… call minutes last month. How much did this cost? Projector Resources Classifying Proportion and Non-proportion Situations P-7

Map A road ……… inches long on a map is ……… miles long in real life. A river is ……… inches long on the map. How long is the river in real life? Projector Resources Classifying Proportion and Non-proportion Situations P-8

Toast My toaster has two slots for bread. It takes ……… minutes to make ……… slices of toast. How long does it take to make ………slices of toast? Projector Resources Classifying Proportion and Non-proportion Situations P-9

Smoothie To make three strawberry smoothies, you need: ……… cups of apple juice ……… bananas ……… cups of strawberries How many bananas are needed for …. smoothies? Projector Resources Classifying Proportion and Non-proportion Situations P-10

Triangles Projector Resources Classifying Proportion and Non-proportion Situations P-11

Line A straight line passes through the points (0, 0) and (. …. , …. . ). It also passes through the point ( …. . , y ). Calculate the value of y. Projector Resources Classifying Proportion and Non-proportion Situations P-12

Proportion or not? O O O What situations would give graphs like these? Which are proportional situations? Projector Resources Classifying Proportion and Non-proportion Situations P-13